145341731808 has 1440 divisors, whose sum is σ = 582522827040. Its totient is φ = 35115171840.

The previous prime is 145341731807. The next prime is 145341731833. The reversal of 145341731808 is 808137143541.

145341731808 is a `hidden beast` number, since 1 + 4 + 53 + 417 + 3 + 180 + 8 = 666.

It is a super-2 number, since 2×145341731808² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145341731807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1286209960 + ... + 1286210072.

It is an arithmetic number, because the mean of its divisors is an integer number (404529741).

Almost surely, 2^145341731808 is an apocalyptic number.

145341731808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145341731808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291261413520).

145341731808 is an abundant number, since it is smaller than the sum of its proper divisors (437181095232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145341731808 is a wasteful number, since it uses less digits than its factorization.

145341731808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 145341731808 in words is "one hundred forty-five billion, three hundred forty-one million, seven hundred thirty-one thousand, eight hundred eight".